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Finding the Third Proportional to 56,297 and 120,460

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Solution

The third proportional to 56,297 and 120,460 is: 257,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,297 : 120,460 = 120,460 : x
  2. Step 2: Convert to fraction form
    56,297/120,460 = 120,460/x
  3. Step 3: Cross multiply
    56,297x = 120,460 × 120,460
  4. Step 4: Simplify right side
    56,297x = 14,510,611,600
  5. Step 5: Solve for x
    x = 14,510,611,600/56,297
  6. Step 6: Final answer
    x = 257,751.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.